Answer:
$3 max
Step-by-step explanation:
Charge= b, Customer= c, Revenue= r
r= bc, currently, r= 16*10= $160
We know that: b+1 ⇒ c-2 and the target is r ≥ 130
So, this will all be reflected as:
b=10+x ⇒ c= 16-2x
- (10+x)(16-2x) ≥ 130
- 160 -20x +16x - 2x² ≥ 130
- -2x² - 4x + 30 ≥ 0
- x² + 2x -15 ≤ 0
- (x+1)² ≤ 4²
- x+1 ≤ 4 (negative value not considered)
- x ≤ 3
As we see the max increase amount is $3, when the revenue will be:
(10+3)*(16-3*2)= 13*10= $130
B
calculate the slopes m of the 2 lines using the gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = C(- 2, 4) and (x₂, y₂ ) = D(0, - 4 )
= 
= 
= - 4
repeat with (x₁, y₁ ) = F(- 4, 0 ) and (x₂, y₂ ) = G(4, 2 )
= 
= 
= 
The 2 lines are perpendicular because their slopes are negative reciprocals
Answer:
She had an extremely small sample, so this most likely does not represent the entire state. Another thing to note is that she asked her neighbors, people in close proximity to her. Seeing as so many of her neighbors go boating on the weekend, we can assume that they are located close to a body of water. Again this would not accurately describe the entire state.
HOPE THIS HELPS AND MAKES SENSE!!!
Answer:
2. Water vapour and steam
4. The clouds in the sky are water vapour molecules because they evaporate ( turn from a liquid to a gas) from lakes and ponds.
